Factoring Quadratic Equations and Solutions

This video tutorial covers solving quadratic equations by factoring. It begins with an introduction to the method, followed by detailed examples demonstrating different techniques such as using the greatest common factor (GCF), difference of squares, and factoring trinomials. The tutorial also includes practice problems for students to solve independently, with solutions provided for odd-numbered questions.

What is the first step in solving a quadratic equation by factoring?

• Move all terms to one side of the equation

• Write the solution set

• Set each factor equal to zero

• Factor the expression

When factoring a quadratic expression, what should you check for first?

• Difference of squares

• Perfect square trinomial

• Greatest common factor (GCF)

• Prime factorization

In the expression 9x^2 - 25, what type of factoring is used?

• GCF factoring

• Difference of squares

• Trinomial factoring

• Prime factorization

What is the solution set for the equation 2x^2 - 2x - 24 = 0 after factoring?

• {-2, 6}

• {-4, 3}

• {0, 2}

• {-3, 4}

How do you handle a quadratic equation with no GCF?

• Slide and divide method

• Use the quadratic formula

• Graph the equation

• Complete the square

What is the solution set for the equation x^2 + 10x + 25 = 0?

• {-5}

• {-10, 5}

• {0, 5}

• {5}

In the equation 4x^2 - 11x = x - 9, what is the first step to solve it?

• Add 9 to both sides

• Set the equation to zero

• Subtract x from both sides

• Factor the equation

What is the solution set for the equation 2x^2 + 9x - 5 = 0 after factoring?

• {-1, 5/2}

• {-5/2, 1}

• {-3, 2}

• {-2, 3}

What is the correct factorization for x^2 - 49?

• (x + 7)(x - 7)

• (x + 49)(x - 49)

• (x + 7)^2

• (x - 7)^2

What is the solution set for the equation 3x^2 + 1x^2 = 81?

• {-9/2, 9/2}

• {-81, 81}

• {-4, 4}

• {-9, 9}